Search a number
-
+
5066419382000 = 245312730196607
BaseRepresentation
bin100100110111001111000…
…1000001010011011110000
3122221100022110220022210022
41021232132020022123300
51131002011330211000
614435251514223012
71032015411123224
oct111563610123360
918840273808708
105066419382000
1116837247292a9
12699aa5724a68
132a99b8756832
14137304a16784
158bbc87ed585
hex49b9e20a6f0

5066419382000 has 160 divisors (see below), whose sum is σ = 12353022689280. Its totient is φ = 2009640326400.

The previous prime is 5066419381997. The next prime is 5066419382029. The reversal of 5066419382000 is 2839146605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766822697 + ... + 766829303.

It is an arithmetic number, because the mean of its divisors is an integer number (77206391808).

Almost surely, 25066419382000 is an apocalyptic number.

5066419382000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5066419382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176511344640).

5066419382000 is an abundant number, since it is smaller than the sum of its proper divisors (7286603307280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5066419382000 is a wasteful number, since it uses less digits than its factorization.

5066419382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9776 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 5066419382000 in words is "five trillion, sixty-six billion, four hundred nineteen million, three hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 127 200 250 254 400 500 508 635 1000 1016 1270 2000 2032 2540 3019 3175 5080 6038 6350 6607 10160 12076 12700 13214 15095 15875 24152 25400 26428 30190 31750 33035 48304 50800 52856 60380 63500 66070 75475 105712 120760 127000 132140 150950 165175 241520 254000 264280 301900 330350 377375 383413 528560 603800 660700 754750 766826 825875 839089 1207600 1321400 1509500 1533652 1651750 1678178 1917065 2642800 3019000 3067304 3303500 3356356 3834130 4195445 6038000 6134608 6607000 6712712 7668260 8390890 9585325 13214000 13425424 15336520 16781780 19170650 19946533 20977225 30673040 33563560 38341300 39893066 41954450 47926625 67127120 76682600 79786132 83908900 95853250 99732665 104886125 153365200 159572264 167817800 191706500 199465330 209772250 319144528 335635600 383413000 398930660 419544500 498663325 766826000 797861320 839089000 997326650 1595722640 1678178000 1994653300 2493316625 2533209691 3989306600 4986633250 5066419382 7978613200 9973266500 10132838764 12666048455 19946533000 20265677528 25332096910 39893066000 40531355056 50664193820 63330242275 101328387640 126660484550 202656775280 253320969100 316651211375 506641938200 633302422750 1013283876400 1266604845500 2533209691000 5066419382000